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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p><dfn class="terminology">Definition</dfn> <span class="process-math">\(f\)</span> and <span class="process-math">\(g\)</span> are said to be linear dependent on interval <span class="process-math">\(I\)</span> if there exist two constants <span class="process-math">\(k_1\)</span> and <span class="process-math">\(k_2\text{,}\)</span> not both zero, such that</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation*}
k_1 f(x)+k_2 g(x)=0 \quad \textrm{for all}~x~\textrm{in}~I.
\end{equation*}
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<p class="continuation">Otherwise, if <span class="process-math">\(k_1\)</span> and <span class="process-math">\(k_2\)</span> have to be zero to make the above equation hold, <span class="process-math">\(f\)</span> and <span class="process-math">\(g\)</span> are said to be linear independent.</p>
<span class="incontext"><a href="sec3_3.html#p-86" class="internal">in-context</a></span>
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